On October 19, 2012 Tu-160 and Tu-95MS strategic bombers of the Engels division performed a successful launch of four air-based cruise missiles. The cruise missiles were reported to have reached their targets at the Pemboy test site.

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Quite a few people have noticed the relatively high level of activity of the Russian strategic forces - in the past few days Russia tested a Bulava SLBM from Yury Dolgorukiy submarine, a Topol-M missile from Plesetsk, and a Sineva...

You could try to start from the nominal payload reported in the literature. For example, the Russian Strategic Nuclear Forces book lists Tu-160 with the nominal payload of 9 tonnes. This means that your numbers are a bit high. On the other hand the maximum payload of Tu-160 appears to be 40 tonnes, so they may work. The range will be shorter, of course.